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Finding the Third Proportional to 892,968 and 1,360,416

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Solution

The third proportional to 892,968 and 1,360,416 is: 2,072,562.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,968 : 1,360,416 = 1,360,416 : x
  2. Step 2: Convert to fraction form
    892,968/1,360,416 = 1,360,416/x
  3. Step 3: Cross multiply
    892,968x = 1,360,416 × 1,360,416
  4. Step 4: Simplify right side
    892,968x = 1,850,731,693,056
  5. Step 5: Solve for x
    x = 1,850,731,693,056/892,968
  6. Step 6: Final answer
    x = 2,072,562.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.